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Finding the Fourth Proportional to 26,194.70, 36,149.64 and 14,257.46

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Solution

The fourth proportional to 26,194.70, 36,149.64 and 14,257.46 is: 19,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194.70 : 36,149.64 = 14,257.46 : x
  2. Step 2: Convert to fraction form
    26,194.70/36,149.64 = 14,257.46/x
  3. Step 3: Cross multiply
    26,194.70x = 36,149.64 × 14,257.46
  4. Step 4: Simplify right side
    26,194.70x = 515,402,046.31
  5. Step 5: Solve for x
    x = 515,402,046.31/26,194.70
  6. Step 6: Final answer
    x = 19,675.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.